# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{}(partial_u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap133" SRC="img2.gif"  > '; 
$key = q/{}(S^2){}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap146" SRC="img15.gif"  > '; 
$key = q/{}(g_uv=delta_abe^a_ue^b_v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=97 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap136" SRC="img5.gif"  > '; 
$key = q/{}(arraycc1;SPMamp;00;SPMamp;sin(theta)array){}/;
$cached_env_img{$key} = ' <IMG WIDTH=66 HEIGHT=34 ALIGN=BOTTOM ALT="tex2html_wrap151" SRC="img20.gif"  > '; 
$key = q/{}(ds^2=dtheta^2+sin^2(theta)dphi^2){}/;
$cached_env_img{$key} = ' <IMG WIDTH=164 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap147" SRC="img16.gif"  > '; 
$key = q/{}(T_pM){}/;
$cached_env_img{$key} = ' <IMG WIDTH=32 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap132" SRC="img1.gif"  > '; 
$key = q/{}(V^a=e^a_uV^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=78 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap139" SRC="img8.gif"  > '; 
$key = q/{}(V^u=e^u_aV^a){}/;
$cached_env_img{$key} = ' <IMG WIDTH=78 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap140" SRC="img9.gif"  > '; 
$key = q/{}(g^-1(theta^a,theta^b)=delta^ab){}/;
$cached_env_img{$key} = ' <IMG WIDTH=120 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap144" SRC="img13.gif"  > '; 
$key = q/{}(V=V^upartial_u=V^ae_a){}/;
$cached_env_img{$key} = ' <IMG WIDTH=130 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap138" SRC="img7.gif"  > '; 
$key = q/{}(e^a_u=){}/;
$cached_env_img{$key} = ' <IMG WIDTH=31 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap150" SRC="img19.gif"  > '; 
$key = q/{}(;SPMlt;e_a,theta^b;SPMgt;=delta_a^b){}/;
$cached_env_img{$key} = ' <IMG WIDTH=102 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap143" SRC="img12.gif"  > '; 
$key = q/{}(theta){}/;
$cached_env_img{$key} = ' <IMG WIDTH=6 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap142" SRC="img11.gif"  > '; 
$key = q/{}(t^2=sin(theta)dphi){}/;
$cached_env_img{$key} = ' <IMG WIDTH=96 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap149" SRC="img18.gif"  > '; 
$key = q/{}(T^*_pM){}/;
$cached_env_img{$key} = ' <IMG WIDTH=34 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap141" SRC="img10.gif"  > '; 
$key = q/{}(g(e_a,e_b)=delta_ab){}/;
$cached_env_img{$key} = ' <IMG WIDTH=100 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap135" SRC="img4.gif"  > '; 
$key = q/{}(theta^a=e^a_udx^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=78 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap145" SRC="img14.gif"  > '; 
$key = q/{}(e^a_ue^u_b=delta_ab){}/;
$cached_env_img{$key} = ' <IMG WIDTH=73 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap137" SRC="img6.gif"  > '; 
$key = q/{}(t^1=dtheta){}/;
$cached_env_img{$key} = ' <IMG WIDTH=51 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap148" SRC="img17.gif"  > '; 
$key = q/{}(e_a=e_a^upartial_u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=68 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap134" SRC="img3.gif"  > '; 

1;

